English

Irredundant bases for finite groups of Lie type

Group Theory 2023-05-24 v1

Abstract

We prove that the maximum length of an irredundant base for a primitive action of a finite simple group of Lie type is bounded above by a function which is a polynomial in the rank of the group. We give examples to show that this type of upper bound is best possible.

Keywords

Cite

@article{arxiv.2212.07853,
  title  = {Irredundant bases for finite groups of Lie type},
  author = {Nick Gill and Martin W. Liebeck},
  journal= {arXiv preprint arXiv:2212.07853},
  year   = {2023}
}

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14 pages